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4D modeling of human-object interactions is critical for numerous applications. However, efficient volumetric capture and rendering of complex interaction scenarios, especially from sparse inputs, remain challenging. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Yuheng Jiang , Suyi Jiang , Guoxing Sun , Zhuo Su , Kaiwen Guo , Minye Wu , Jingyi Yu , Lan Xu

Today there is a high variety of haptic devices capable of providing tactile feedback. Although most of existing designs are aimed at realistic simulation of the surface properties, their capabilities are limited in attempts of displaying…

Robotics · Computer Science 2021-04-20 Aleksey Fedoseev , Nikita Chernyadev , Dzmitry Tsetserukou

We discuss design techniques for catadioptric sensors that realize given projections. In general, these problems do not have solutions, but approximate solutions may often be found that are visually acceptable. There are several methods to…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 R. Andrew Hicks

Many algorithms require discriminative boundaries, such as separating hyperplanes or hyperballs, or are specifically designed to work on spherical data. By applying inversive geometry, we show that the two discriminative boundaries can be…

Machine Learning · Computer Science 2024-05-29 Erik Thordsen , Erich Schubert

Cubic spline interpolation on Euclidean space is a standard topic in numerical analysis, with countless applications in science and technology. In several emerging fields, for example computer vision and quantum control, there is a growing…

Numerical Analysis · Mathematics 2018-10-03 Geir Bogfjellmo , Klas Modin , Olivier Verdier

In this paper, we explore the virtual technique that is very useful in studying moduli problem from differential geometric point of view. We introduce a class of new objects "virtual manifolds/orbifolds", on which we develop the integration…

Geometric Topology · Mathematics 2007-05-23 Bohui Chen , Gang Tian

Magic windows (or mirrors) consist of optical devices with a surface deformation or thickness distribution devised in such a way to form a desired image. The associated image intensity distribution has been shown to be related to the…

Since the advent of Neural Radiance Fields, novel view synthesis has received tremendous attention. The existing approach for the generalization of radiance field reconstruction primarily constructs an encoding volume from nearby source…

Computer Vision and Pattern Recognition · Computer Science 2023-08-09 Jingliang Li , Qiang Zhou , Chaohui Yu , Zhengda Lu , Jun Xiao , Zhibin Wang , Fan Wang

We compute and analyse the moduli space of those real projective structures on a hyperbolic 3-orbifold that are modelled on a single ideal tetrahedron in projective space. Parameterisations are given in terms of classical invariants,…

Geometric Topology · Mathematics 2021-01-06 Joan Porti , Stephan Tillmann

Scene graph representations enable structured visual understanding by modeling objects and their relationships, and have been widely used for multiview and 3D scene reasoning. Existing methods such as MSG learn scene graph embeddings in…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Liyang Wang , Zeyu Zhang , Hao Tang

This paper develops a simple and fast method to reconstruct reality from stereoscopic images. We bring together ideas from robust optical flow techniques, morphing deformations and lightfield 3D rendering in order to create unsupervised…

Image and Video Processing · Electrical Eng. & Systems 2020-01-03 Enrique Canessa , Livio Tenze

The virtual viewpoint is perceived as a new technique in virtual navigation, as yet not supported due to the lack of depth information and obscure camera parameters. In this paper, a method for achieving close-up virtual view is proposed…

Computer Vision and Pattern Recognition · Computer Science 2023-07-13 Xinyi Bai , Ze Wang , Lu Yang , Hong Cheng

Embedding into hyperbolic space is emerging as an effective representation technique for datasets that exhibit hierarchical structure. This development motivates the need for algorithms that are able to effectively extract knowledge and…

Data Structures and Algorithms · Computer Science 2020-09-03 Xian Wu , Moses Charikar

Euclidean representation learning methods have achieved promising results in image fusion tasks, which can be attributed to their clear advantages in handling with linear space. However, data collected from a realistic scene usually has a…

Computer Vision and Pattern Recognition · Computer Science 2025-09-25 Huan Kang , Hui Li , Tianyang Xu , Xiao-Jun Wu , Rui Wang , Chunyang Cheng , Josef Kittler

This paper is aimed at presenting a systematic survey of the existing now different formulations for the problem of projection of the origin of the Euclidean space onto the convex polyhedron (PPOCP). In the present paper, there are…

Optimization and Control · Mathematics 2018-02-15 Z. R. Gabidullina

Recently introduced implicit field representations offer an effective way of generating 3D object shapes. They leverage implicit decoder trained to take a 3D point coordinate concatenated with a shape encoding and to output a value which…

Computer Vision and Pattern Recognition · Computer Science 2021-10-13 Magdalena Proszewska , Marcin Mazur , Tomasz Trzciński , Przemysław Spurek

Object detection, for the most part, has been formulated in the euclidean space, where euclidean or spherical geodesic distances measure the similarity of an image region to an object class prototype. In this work, we study whether a…

Computer Vision and Pattern Recognition · Computer Science 2022-03-21 Christopher Lang , Alexander Braun , Abhinav Valada

The paper presents a 3D interactive representation of fairly large picture collections which facilitates browsing through unstructured sets of icons or pictures. Implementation of this representation implies choosing between two…

Human-Computer Interaction · Computer Science 2007-08-27 Olivier Christmann , Noëlle Carbonell

Hyperbolic neural networks have been popular in the recent past due to their ability to represent hierarchical data sets effectively and efficiently. The challenge in developing these networks lies in the nonlinearity of the embedding space…

Machine Learning · Computer Science 2021-12-08 Xiran Fan , Chun-Hao Yang , Baba C. Vemuri

The present contribution suggests the use of a multidimensional scaling (MDS) algorithm as a visualization tool for manifold-valued elements. A visualization tool of this kind is useful in signal processing and machine learning whenever…

Machine Learning · Statistics 2013-03-08 Simone Fiori
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